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max number of equal spheres touching a fixed equal one, no common points

Source: Brazilian Mathematical Olympiad 1983 P6

July 27, 2018
geometry3D geometryspheremaximum

Problem Statement

Show that the maximum number of spheres of radius 11 that can be placed touching a fixed sphere of radius 11 so that no pair of spheres has an interior point in common is between 1212 and 1414.